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Finding the Third Proportional to 3,617,234,496 and 7,835,541,408

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Solution

The third proportional to 3,617,234,496 and 7,835,541,408 is: 16,973,107,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617,234,496 : 7,835,541,408 = 7,835,541,408 : x
  2. Step 2: Convert to fraction form
    3,617,234,496/7,835,541,408 = 7,835,541,408/x
  3. Step 3: Cross multiply
    3,617,234,496x = 7,835,541,408 × 7,835,541,408
  4. Step 4: Simplify right side
    3,617,234,496x = 61,395,709,156,482,621,440
  5. Step 5: Solve for x
    x = 61,395,709,156,482,621,440/3,617,234,496
  6. Step 6: Final answer
    x = 16,973,107,279.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.